I predict Breslow will add to the rotation, and the guy I pick to join Boston soon is a battle-worn 6'5, 230-lb left-hander:
Austin Gomber, 30, pending free agent, is the NL leader in home runs allowed. But he plays for last-place Colorado and has 1.6 WAR, which is better than any Red Sox pitcher not named Houck or Crawford. Gomber has a 4.61 ERA playing half his games at Coors, and doesn't walk batters (2.258 per 9, better than all Sox but Houck). Maybe Bailey remembers him, and has a plan.
Gomber may be more costly than I thought. According to his splits, his ERA is only 3.28 in the 10 games he threw to catcher Elias Diaz... and over 6.00 in the rest of his games to other catchers. So to do it right, the Sox should also insist Diaz is part of the deal. He was an All-Star last year, but also a free agent at the end of this season, so probably available...
This is about as high as I can raise my deadline anticipations, having survived the past half decade of the Bloom Era.